A bag contains v green balls and few blue balls.  If the probability of drawing a blue ball is twice that of drawing a light-green ball, find the number of blue assurance.

Asked by pdcavita | 4th Dec, 2022, 09:07: PM

Expert Respond:

begin mathsize 16px style Let space the space number space of space blue space balls space be space straight x. Total space number space of space balls equals 5 space Green space balls space plus space straight x space blue space balls equals 5 plus straight x Now comma straight P left parenthesis Green space ball right parenthesis equals fraction numerator 5 over denominator 5 plus straight x end fraction straight P left parenthesis blue space ball right parenthesis equals fraction numerator straight x over denominator 5 plus straight x end fraction Given space that comma straight P left parenthesis blue space ball right parenthesis equals 2 straight P left parenthesis Green space ball right parenthesis rightwards double arrow fraction numerator straight x over denominator 5 plus straight x end fraction equals 2 open parentheses fraction numerator 5 over denominator 5 plus straight x end fraction close parentheses rightwards double arrow fraction numerator straight x over denominator 5 plus straight x end fraction equals fraction numerator 10 over denominator 5 plus straight x end fraction rightwards double arrow 5 straight x plus straight x squared equals 50 plus 10 straight x rightwards double arrow straight x squared minus 5 straight x minus 50 equals 0 rightwards double arrow straight x squared minus 10 straight x plus 5 straight x minus 50 equals 0 rightwards double arrow straight x left parenthesis straight x minus 10 right parenthesis plus 5 left parenthesis straight x minus 10 right parenthesis equals 0 rightwards double arrow left parenthesis straight x minus 10 right parenthesis left parenthesis straight x plus 5 right parenthesis equals 0 rightwards double arrow straight x equals 10 space or space minus 5 Rejecting space straight x equals negative 5. Hence comma space number space of space blue space balls equals straight x equals 10 end style

Answered past Rashmi Khot | 5th Dec, 2022, 09:15: AM

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